38 citations · 185 across the 18 of their papers we have counts for
13 papers · 1 filter
The Schwarz function and the shrinking of the Szegő curve: electrostatic, hydrodynamic, and random matrix models
Gabriel Álvarez, Luis Martínez Alonso, Elena Medina
We study the deformation of the classical Szegő curve given by , from three different viewpoints: an e…
Separatrices in the Hamilton-Jacobi Formalism of Inflaton Models
Gabriel Álvarez, Luis Martínez Alonso, Elena Medina +1
We consider separatrix solutions of the differential equations for inflaton models with a single scalar field in a zero-curvature Friedmann-Lema\^ıtre-Robertson-Walker universe. Th…
A new method to sum divergent power series: educated match
Gabriel Álvarez, Harris J. Silverstone
We present a method to sum Borel- and Gevrey-summable asymptotic series by matching the series to be summed with a linear combination of asymptotic series of known functions that t…
Phase space and phase transitions in the Penner matrix model with negative coupling constant
Gabriel Álvarez, Luis Martínez Alonso, Elena Medina
The partition function of the Penner matrix model for both positive and negative values of the coupling constant can be explicitly written in terms of the Barnes G function. In thi…
Fine structure in the large n limit of the non-hermitian Penner matrix model
Gabriel Álvarez, Luis Martínez Alonso, Elena Medina
In this paper we apply results on the asymptotic zero distribution of the Laguerre polynomials to discuss generalizations of the standard large limit in the non-hermitian Penne…
Partition functions and the continuum limit in Penner matrix models
Gabriel Álvarez, Luis Martínez Alonso, Elena Medina
We present an implementation of the method of orthogonal polynomials which is particularly suitable to study the partition functions of Penner random matrix models, to obtain their…